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Finding the Fourth Proportional to 20,838.50, 28,757.76 and 11,407.70

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Solution

The fourth proportional to 20,838.50, 28,757.76 and 11,407.70 is: 15,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.50 : 28,757.76 = 11,407.70 : x
  2. Step 2: Convert to fraction form
    20,838.50/28,757.76 = 11,407.70/x
  3. Step 3: Cross multiply
    20,838.50x = 28,757.76 × 11,407.70
  4. Step 4: Simplify right side
    20,838.50x = 328,059,898.75
  5. Step 5: Solve for x
    x = 328,059,898.75/20,838.50
  6. Step 6: Final answer
    x = 15,742.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.